On the regularity of the partial \(O^*\)-algebras generated by a closed symmetric operator

DOI10.2977/prims/1195167935zbMath0812.47047OpenAlexW1965507147MaRDI QIDQ1328906

Camillo Trapani, Atsushi Inoue, Jean-Pierre Antoine

Publication date: 9 May 1995

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195167935

zbMATH Keywords

regularityclosed symmetric operatorpartial *-algebras of closable operatorspartial \(O^*\)-algebras generated by a closed symmetric operator

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60)

Related Items (4)

TOPOLOGICAL PARTIAL *-ALGEBRAS: BASIC PROPERTIES AND EXAMPLES ⋮ \(CQ^*\)-algebras: Structure properties ⋮ Unbounded \(C^{\ast}\)-seminorms, biweights, and \(^{\ast}\)-representations of partial \(^{\ast}\)-algebras: A review ⋮ Spectral properties of partial \(^*\)-algebras

Cites Work

• Partial \({}^*\)-algebras of closable operators. I: The basic theory and the abelian case
• A theory of quantum measurement based on the CCR algebra \(L^+({\mathcal W})\)
• Partial *-algebras of closed linear operators in Hilbert space
• Partial \(\star\)-algebras of closable operators. II: States and representations of partial \(\star\)-algebras
• Self-adjoint algebras of unbounded operators
• Topological algebras of operators
• V*-algebras: A particular class of unbounded operator algebras
• Representability of invariant positive sesquilinear forms on partial *-algebras
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